Supervision
I have supervised projects on a variety of topics ranging from algebraic number theory, category theory and algebraic topology to differential, complex and algebraic geometry. You find a list of former and current students I had and have the pleasure to work with including the title of their theses below. To get an idea of what I work on myself please have a look at my research page.
If you are interested in working on a project which may lead to a Bachelor, Master or PhD thesis, I would be very happy to talk to you. I will do my best to find an exciting project which meets your passion, interests and background. Just contact me!
Current team
PhD candidates
since 2020: Therese Strand
since 2020: Eiolf Kaspersen
since 2022: Trygve Poppe Oldervoll
since 2020: Erlend Bergtun as co-supervisor
since 2020: William Hornslien as co-supervisor
since 2020: Louis Oliver Martini as co-supervisor
since 2022: Fredrik Bakke as co-supervisor
Master students
2023-2025: Eivind Xu Djurhuus
2023-2025: Martin Löcsei
Bachelor students
- 2023-2024: Sindre Strøm
Finished projects
Mentoring of postdoctoral researchers
- 2018-2021: Dr. Glen
Matthew Wilson
Dr. Wilson is now a Senior Lecturer at Arctic University in Tromsø.
PhD supervision
2018-2022: Knut Bjarte Haus
Thesis: Geometric Hodge filtered complex cobordism
Dr. Haus is now a data scientist in Stavanger.2016-2020: Håvard Bakke Bjerkevik
Thesis: Stability and Complexity in Multi-Parameter Persistence
Dr. Bjerkevik is now a postdoctoral researcher at TU Graz.2015-2020: Erik Rybakken (as co-supervisor)
Thesis: Topological Data Analysis with Applications to Neuroscience
Dr. Rybakken is now a data analyst at an energy company.
Master theses
2021-2023: Elias Klakken Angelsen
Thesis: On differential cohomology and geometric Hodge-filtered K-theory
Elias was awarded the Stubban Prize for the best Master student in Mathematics at NTNU.2020-2022: Trygve Poppe Oldervoll
Thesis: Concerning some aspects of twisted generating functions
Trygve’s Master project was awarded funding by the project Pure Math in Norway for a two months visit at MIT with mentor Prof. Alvarez-Gavela. Trygve was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. He is now a PhD-candidate at NTNU.2019-2021: Torgeir Aambø
Thesis: On formal DG-algebras
Torgeir is now a PhD-candidate at NTNU.2019-2021: Anders Alexander Andersen
Thesis: Simplicial sheaves and classification problems
Anders is now a data scientist in Copenhagen.2018-2020: Therese Strand (co-supervision with Glen Matthew Wilson)
Thesis: Representativity results in motivic degree theory
Therese is now a PhD-candidate at NTNU.2018-2020: Eiolf Kaspersen
Thesis: Obstructions to the surjectivity of the Thom homomorphism
Eiolf is now a PhD-candidate at NTNU.2018-2020: Viktor Balch Barth (co-supervision with Glen Matthew Wilson)
Thesis: Naive motivic homotopy classes of endomorphisms of the projective line
His Master thesis was supported by an Abel stipend.
Viktor is now a PhD-candidate at the University in Oslo.2019-2020: William Hornslien (co-supervision with Glen Matthew Wilson)
Thesis: Computing motivic homotopy classes on the projective line by algebro- geometric methods
William is now a PhD-candidate at NTNU.2019-2020: Eirik Hjelvik
Thesis: A detailed account of Behrens’ proof of Bott periodicity2019-2020: Erlend Bergtun
Thesis: New cohomology groups for \(G_2\)-manifolds
He was awarded the Stubban Prize for the best Master student in Mathematics at NTNU.
Erlend is now a PhD-candidate at NTNU.2018-2019: Jarl Gunnar Taxerås Flaten
Thesis: Fibrations of Categories
After his Masters Jarl got a PhD at the University of Western Ontario, London, CA, and is now a researcher at SINTEF.2018-2019: Peter Marius Flydal
Thesis: A classifying space for principal G-bundles in the category of simplicial presheaves
After finishing his thesis, Peter passed the Part III of Mathematical Tripos at University of Cambridge.
Peter was awarded the Stubban Prize for the best Master student in Mathematics at NTNU.
He is now a security consultant at mnemonic in Oslo.2016-2018: Eivind Otto Hjelle
Thesis: The slice spectral sequence for \(KR\)-theory
His Master thesis was supported by an Abel stipend. Eivind was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. Eivind is now a PhD-candidate at Northwestern University.2016-2017: Knut Bjarte Haus
Thesis: Differentiable Strutures on Spheres and the Kervaire Invariant
Knut continued as a PhD-candidate at NTNU.2015-2016: Håvard Bakke Bjerkevik
Thesis: Stability of Persistence Modules
After his Master Håvard became a PhD-candidate at NTNU before moving to TU Graz for a postdoctoral research position.2015-2016: Magdalena Mayerhoffer
Thesis: Optimised point counting on elliptic curves over finite fields
After finishing her thesis, Magdalena worked for a brief period at an insurance company in Münster, Germany, before biking around the world and now runs a Youtube-channel on mathematics.2015: Marte Lovise Nilsen (co-supervision with Richard Williamson)
Thesis: 2-Braids and a categorification of the Kauffman bracket polynomial2014-2015: Saskia Stahl
Thesis: The local-global principle in arithmetic geometry
Saskia is now a System Architect working in Oslo.
StudForsk projects
- 2020: Anders Alexander Andersen
Project: Algebraic cell decompositions via torus actions
Bachelor theses
2022-2023: Eivind Xu Djurhuus
Thesis: Local Class Field Theory via Lubin- Tate formal groups2022-2023: Martin Löcsei
Thesis: Abstract Homotopy Theory of Smooth Manifolds2018-2019: Torgeir Aambø
Thesis: Naive homotopy theory for schemes2018-2019: Sigurd Gaukstad
Thesis: Bott Periodicity and its applications to \(K\)-theory2018-2019: Anders Alexander Andersen
Thesis: Cobordism Theory - An Introduction to Topological Pants2010-2014: I have in addition supervised 9 Bachelor theses on various topics at the University of Münster, Germany.